On the L2-pointwise regularity of functions in critical Besov spaces.

Mohamed Moussa

Revista Matemática Complutense (2004)

  • Volume: 17, Issue: 2, page 403-409
  • ISSN: 1139-1138

Abstract

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We show that the functions in L2(Rn) given by the sum of infinitely sparse wavelet expansions are regular, i.e. belong to C∞L2 (x0), for all x0 ∈ Rn which is outside of a set of vanishing Hausdorff dimension.

How to cite

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Moussa, Mohamed. "On the L2-pointwise regularity of functions in critical Besov spaces.." Revista Matemática Complutense 17.2 (2004): 403-409. <http://eudml.org/doc/44515>.

@article{Moussa2004,
abstract = {We show that the functions in L2(Rn) given by the sum of infinitely sparse wavelet expansions are regular, i.e. belong to C∞L2 (x0), for all x0 ∈ Rn which is outside of a set of vanishing Hausdorff dimension.},
author = {Moussa, Mohamed},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Besov; Espacios de funciones medibles; Desarrollo en serie de funciones; Ondículas; Dimensión de Hausdorff; Besov spaces; wavelets},
language = {eng},
number = {2},
pages = {403-409},
title = {On the L2-pointwise regularity of functions in critical Besov spaces.},
url = {http://eudml.org/doc/44515},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Moussa, Mohamed
TI - On the L2-pointwise regularity of functions in critical Besov spaces.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 2
SP - 403
EP - 409
AB - We show that the functions in L2(Rn) given by the sum of infinitely sparse wavelet expansions are regular, i.e. belong to C∞L2 (x0), for all x0 ∈ Rn which is outside of a set of vanishing Hausdorff dimension.
LA - eng
KW - Espacios de Besov; Espacios de funciones medibles; Desarrollo en serie de funciones; Ondículas; Dimensión de Hausdorff; Besov spaces; wavelets
UR - http://eudml.org/doc/44515
ER -

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